Add linear pair/dependent pair to the prelude

I'm playing with some linear structures and finding these useful a lot,
so good to have a consistent syntax for it. '#' is chosen because it's
short, looks a bit like a cross if you look at it from the right angle
(!) and so as not to clash with '@@' in preorder reasoning syntax.
This commit is contained in:
Edwin Brady 2020-06-12 11:18:12 +01:00
parent 361d2e4d88
commit c9b20911e1
23 changed files with 91 additions and 118 deletions

View File

@ -83,7 +83,7 @@ access the resource directly:
.. code-block:: idris
data Res : (a : Type) -> (a -> Type) -> Type where
(@@) : (val : a) -> (1 resource : r val) -> Res a r
(#) : (val : a) -> (1 resource : r val) -> Res a r
login : (1 s : Store LoggedOut) -> (password : String) ->
Res Bool (\ok => Store (if ok then LoggedIn else LoggedOut))
@ -91,7 +91,7 @@ access the resource directly:
readSecret : (1 s : Store LoggedIn) ->
Res String (const (Store LoggedIn))
``Res`` is defined in ``Control.App`` since it is commonly useful. It is a
``Res`` is defined in the Prelude, since it is commonly useful. It is a
dependent pair type, which associates a value with a linear resource.
We'll leave the other definitions abstract, for the purposes of this
introductory example.
@ -108,10 +108,10 @@ secret data. It uses ``let (>>=) = bindL`` to redefine
do putStr "Password: "
password <- getStr
connect $ \s =>
do let True @@ s = login s password
| False @@ s => do putStrLn "Wrong password"
disconnect s
let str @@ s = readSecret s
do let True # s = login s password
| False # s => do putStrLn "Wrong password"
disconnect s
let str # s = readSecret s
putStrLn $ "Secret: " ++ show str
let s = logout s
disconnect s
@ -237,10 +237,10 @@ hard coded password and internal data:
login (MkStore str) pwd
= if pwd == "Mornington Crescent"
then pure1 (True @@ MkStore str)
else pure1 (False @@ MkStore str)
then pure1 (True # MkStore str)
else pure1 (False # MkStore str)
logout (MkStore str) = pure1 (MkStore str)
readSecret (MkStore str) = pure1 (str @@ MkStore str)
readSecret (MkStore str) = pure1 (str # MkStore str)
disconnect (MkStore _)
= putStrLn "Door destroyed"

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@ -339,8 +339,6 @@ HasErr Void e => PrimIO e where
$ \_ =>
MkAppRes (Right ())
infix 5 @@
export
new1 : t -> (1 p : State tag t e => App1 {u} e a) -> App1 {u} e a
new1 val prog
@ -349,10 +347,6 @@ new1 val prog
MkApp1 res = prog @{st} in
res
public export
data Res : (a : Type) -> (a -> Type) -> Type where
(@@) : (val : a) -> (1 r : t val) -> Res a t
public export
data FileEx = GenericFileEx Int -- errno
| FileReadError

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@ -67,22 +67,36 @@ snd (x, y) = y
-- This directive tells auto implicit search what to use to look inside pairs
%pair Pair fst snd
||| Dependent pairs aid in the construction of dependent types by providing
||| evidence that some value resides in the type.
|||
||| Formally, speaking, dependent pairs represent existential quantification -
||| they consist of a witness for the existential claim and a proof that the
||| property holds for it.
|||
||| @ a the value to place in the type.
||| @ p the dependent type that requires the value.
infix 5 #
||| A pair type for use in operations on linear resources, which return a
||| value and an updated resource
public export
data LPair : Type -> Type -> Type where
(#) : (x : a) -> (1 _ : b) -> LPair a b
namespace DPair
||| Dependent pairs aid in the construction of dependent types by providing
||| evidence that some value resides in the type.
|||
||| Formally, speaking, dependent pairs represent existential quantification -
||| they consist of a witness for the existential claim and a proof that the
||| property holds for it.
|||
||| @ a the value to place in the type.
||| @ p the dependent type that requires the value.
public export
record DPair a (p : a -> Type) where
constructor MkDPair
fst : a
snd : p fst
||| A dependent variant of LPair, pairing a result value with a resource
||| that depends on the result value
public export
data Res : (a : Type) -> (a -> Type) -> Type where
(#) : (val : a) -> (1 r : t val) -> Res a t
-- The empty type
||| The empty type, also known as the trivially false proposition.

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@ -2,13 +2,13 @@
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@ -2,13 +2,13 @@
000038(:write-string "1/1: Building LocType (LocType.idr)" 1)
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0000d8(:output (:ok (:highlight-source ((((:filename "LocType.idr") (:start 7 38) (:end 8 1)) ((:name "ys") (:namespace "") (:decor :bound) (:implicit :False) (:key "") (:doc-overview "") (:type "(Main.Vect m a)")))))) 1)
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@ -1,6 +1,6 @@
1/1: Building wcov (wcov.idr)
Main> Main.tfoo is total
Main> Main.wfoo is total
Main> Main.wbar is not covering due to call to function Main.with block in 1372
Main> Main.wbar is not covering due to call to function Main.with block in 1376
Main> Main.wbar1 is total
Main> Bye for now!

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@ -1,3 +1,3 @@
1/1: Building casetot (casetot.idr)
casetot.idr:12:1--13:1:main is not covering:
Calls non covering function Main.case block in 2071(287)
Calls non covering function Main.case block in 2075(296)

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@ -22,11 +22,6 @@ One = Use Once
Any : (Type -> Type) -> Type -> Type
Any = Use Many
infix 2 @@
data Res : (a : Type) -> (a -> Type) -> Type where
(@@) : (x : a) -> (1 res : r x) -> Res a r
data DoorState = Closed | Open
data Door : DoorState -> Type where
@ -57,7 +52,7 @@ doorProg2
r <- openDoor d
let x = 42
case r of
(res @@ d) => ?now_1
(res # d) => ?now_1
doorProg3 : Any m ()
doorProg3
@ -65,5 +60,5 @@ doorProg3
r <- openDoor d
let x = 42
case r of
(True @@ d) => ?now_2
(False @@ d) => ?now_3
(True # d) => ?now_2
(False # d) => ?now_3

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@ -1,7 +1,7 @@
1/1: Building Door (Door.idr)
Main> (y @@ res) => ?now_4
Main> (True @@ d) => ?now_4
(False @@ d) => ?now_5
Main> (val # y) => ?now_4
Main> (True # d) => ?now_4
(False # d) => ?now_5
Main> 0 m : Type -> Type
1 d : Door Open
x : Integer

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@ -1,5 +1,5 @@
:cs 52 15 what
:cs 60 16 res
:cs 47 15 what
:cs 55 16 res
:t now_2
:t now_3
:q

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@ -30,9 +30,3 @@ One = Use Once
public export
Any : (Type -> Type) -> Type -> Type
Any = Use Many
infix 2 @@
public export
data Res : (a : Type) -> (a -> Type) -> Type where
(@@) : (x : a) -> (1 res : r x) -> Res a r

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@ -56,12 +56,6 @@ public export
Any : (Type -> Type) -> Type -> Type
Any m = Lin m Many
infix 2 @@
public export
data Res : (a : Type) -> (a -> Type) -> Type where
(@@) : (val : a) -> (1 resource : r val) -> Res a r
data DoorState = Closed | Open
-- changes start here

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@ -22,11 +22,6 @@
> Any : (Type -> Type) -> Type -> Type
> Any = Use Many
> infix 2 @@
> data Res : (a : Type) -> (a -> Type) -> Type where
> (@@) : (x : a) -> (1 res : r x) -> Res a r
> data DoorState = Closed | Open
> data Door : DoorState -> Type where
@ -57,7 +52,7 @@
> r <- openDoor d
> let x = 42
> case r of
> (res @@ d) => ?now_1
> (res # d) => ?now_1
> doorProg3 : Any m ()
> doorProg3
@ -65,5 +60,5 @@
> r <- openDoor d
> let x = 42
> case r of
> (True @@ d) => ?now_2
> (False @@ d) => ?now_3
> (True # d) => ?now_2
> (False # d) => ?now_3

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@ -1,7 +1,7 @@
1/1: Building Door (Door.lidr)
Main> > (y @@ res) => ?now_4
Main> > (True @@ d) => ?now_4
> (False @@ d) => ?now_5
Main> > (val # y) => ?now_4
Main> > (True # d) => ?now_4
> (False # d) => ?now_5
Main> 0 m : Type -> Type
1 d : Door Open
x : Integer

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@ -1,5 +1,5 @@
:cs 52 17 what
:cs 60 18 res
:cs 47 17 what
:cs 55 18 res
:t now_2
:t now_3
:q

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@ -134,11 +134,11 @@ tryRecv (MkChannel lock cond_lock cond local remote)
case dequeue rq of
Nothing =>
do lift $ mutexRelease lock
pure (Nothing @@ MkChannel lock cond_lock cond local remote)
pure (Nothing # MkChannel lock cond_lock cond local remote)
Just (rq', Entry {any} val) =>
do lift $ writeIORef local rq'
lift $ mutexRelease lock
pure (Just (believe_me {a=any} val) @@
pure (Just (believe_me {a=any} val) #
MkChannel lock cond_lock cond local remote)
-- blocks until the message is there
@ -158,7 +158,7 @@ recv (MkChannel lock cond_lock cond local remote)
Just (rq', Entry {any} val) =>
do lift $ writeIORef local rq'
lift $ mutexRelease lock
pure (believe_me {a=any} val @@
pure (believe_me {a=any} val #
MkChannel lock cond_lock cond local remote)
export
@ -180,14 +180,14 @@ timeoutRecv (MkChannel lock cond_lock cond local remote) timeout
lift $ mutexAcquire cond_lock
lift $ conditionWaitTimeout cond cond_lock timeout
lift $ mutexRelease cond_lock
res @@ chan <- tryRecv {ty} {next} (MkChannel lock cond_lock cond local remote)
res # chan <- tryRecv {ty} {next} (MkChannel lock cond_lock cond local remote)
case res of
Nothing => pure (Nothing @@ chan)
Just res => pure (Just res @@ chan)
Nothing => pure (Nothing # chan)
Just res => pure (Just res # chan)
Just (rq', Entry {any} val) =>
do lift $ writeIORef local rq'
lift $ mutexRelease lock
pure (Just (believe_me {a=any} val) @@
pure (Just (believe_me {a=any} val) #
MkChannel lock cond_lock cond local remote)
export

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@ -54,13 +54,6 @@ public export
Any : (Type -> Type) -> Type -> Type
Any m = Lin m Many
infix 2 @@
public export
data Res : (a : Type) -> (a -> Type) -> Type where
(@@) : (val : a) -> (1 resource : r val) -> Res a r
{-
data DoorState = Closed | Open

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@ -18,12 +18,12 @@ Utils
utilServer : (1 chan : Server Utils) -> Any IO ()
utilServer chan
= do cmd @@ chan <- recv chan
= do cmd # chan <- recv chan
case cmd of
Add => do (x, y) @@ chan <- recv chan
Add => do (x, y) # chan <- recv chan
chan <- send chan (x + y)
close chan
Append => do (x, y) @@ chan <- recv chan
Append => do (x, y) # chan <- recv chan
chan <- send chan (x ++ y)
close chan
@ -35,7 +35,7 @@ MakeUtils = do cmd <- Request Bool
sendUtils : (1 chan : Server MakeUtils) -> Any IO ()
sendUtils chan
= do cmd @@ chan <- recv chan
= do cmd # chan <- recv chan
if cmd
then do cchan <- Channel.fork utilServer
chan <- send chan cchan
@ -46,7 +46,7 @@ getUtilsChan : (1 chan : Client MakeUtils) ->
One IO (Client Utils, Client MakeUtils)
getUtilsChan chan
= do chan <- send chan True
cchan @@ chan <- recv chan
cchan # chan <- recv chan
pure (cchan, chan)
closeUtilsChan : (1 chan : Client MakeUtils) ->
@ -69,12 +69,12 @@ doThings
uchan1 <- send uchan1 Add
uchan2 <- send uchan2 Append
uchan2 <- send uchan2 ("aaa", "bbb")
res @@ uchan2 <- recv uchan2
res # uchan2 <- recv uchan2
close uchan2
lift $ printLn res
uchan1 <- send uchan1 (40, 54)
res @@ uchan1 <- recv uchan1
res # uchan1 <- recv uchan1
close uchan1
lift $ printLn res

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@ -18,14 +18,14 @@ testClient chan
lift $ putStrLn "Sending value"
chan <- send chan False
lift $ putStrLn "Sent"
c @@ chan <- recv chan
c # chan <- recv chan
lift $ putStrLn ("Result: " ++ c)
close chan
testServer : (1 chan : Server TestProto) -> Any IO ()
testServer chan
= do lift $ putStrLn "Waiting"
cmd @@ chan <- recv chan
cmd # chan <- recv chan
lift $ putStrLn ("Received " ++ show cmd)
lift $ sleep 1
lift $ putStrLn "Sending answer"

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@ -339,12 +339,6 @@ HasErr Void e => PrimIO e where
$ \_ =>
MkAppRes (Right ())
infix 5 @@
public export
data Res : (a : Type) -> (a -> Type) -> Type where
(@@) : (val : a) -> (1 r : t val) -> Res a t
public export
data FileEx = GenericFileEx Int -- errno
| FileReadError

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@ -23,10 +23,10 @@ Has [Console] e => StoreI e where
login (MkStore str) pwd
= if pwd == "Mornington Crescent"
then pure1 (True @@ MkStore str)
else pure1 (False @@ MkStore str)
then pure1 (True # MkStore str)
else pure1 (False # MkStore str)
logout (MkStore str) = pure1 (MkStore str)
readSecret (MkStore str) = pure1 (str @@ MkStore str)
readSecret (MkStore str) = pure1 (str # MkStore str)
disconnect (MkStore _)
= putStrLn "Door destroyed"
@ -38,11 +38,11 @@ storeProg
s <- connect
app $ putStr "Password: "
pwd <- app $ getStr
True @@ s <- login s pwd
| False @@ s => do app $ putStrLn "Login failed"
app $ disconnect s
True # s <- login s pwd
| False # s => do app $ putStrLn "Login failed"
app $ disconnect s
app $ putStrLn "Logged in"
secret @@ s <- readSecret s
secret # s <- readSecret s
app $ putStrLn ("Secret: " ++ secret)
s <- logout s
app $ putStrLn "Logged out"

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@ -25,8 +25,8 @@ login : (1 s : Store LoggedOut) -> (password : String) ->
Res Bool (\ok => Store (if ok then LoggedIn else LoggedOut))
login (MkStore secret) password
= if password == "Mornington Crescent"
then True @@ MkStore secret
else False @@ MkStore secret
then True # MkStore secret
else False # MkStore secret
logout : (1 s : Store LoggedIn) -> Store LoggedOut
logout (MkStore secret) = MkStore secret
@ -37,9 +37,9 @@ storeProg
do putStr "Password: "
password <- Console.getStr
connect $ \s =>
do let True @@ s = login s password
| False @@ s => do putStrLn "Incorrect password"
disconnect s
do let True # s = login s password
| False # s => do putStrLn "Incorrect password"
disconnect s
putStrLn "Door opened"
let s = logout s
putStrLn "Door closed"

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@ -12,4 +12,4 @@ Error during reflection: Still not trying
refprims.idr:43:10--45:1:While processing right hand side of dummy3 at refprims.idr:43:1--45:1:
Error during reflection: Undefined name
refprims.idr:46:10--48:1:While processing right hand side of dummy4 at refprims.idr:46:1--48:1:
Error during reflection: failed after generating Main.{plus:6078}
Error during reflection: failed after generating Main.{plus:6087}